33 citations · 62 across the 26 of their papers we have counts for
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math.NA2021
Polynomial Approximation of Symmetric Functions
Markus Bachmayr, Geneviève Dusson, Christoph Ortner +1
We study the polynomial approximation of symmetric multivariate functions and of multi-set functions. Specifically, we consider , where ,…
math.NA2021
An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality
Markus Bachmayr, Igor Voulis
The subject of this work is a new stochastic Galerkin method for second-order elliptic partial differential equations with random diffusion coefficients. It combines operator compr…
math.NA2021
Particle Number Conservation and Block Structures in Matrix Product States
Markus Bachmayr, Michael Götte, Max Pfeffer
The eigenvectors of the particle number operator in second quantization are characterized by the block sparsity of their matrix product state representations. This is shown to gene…